{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# DAY4 梯度下降（Gradient Descent）"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1. **导入必要的库**:\n",
    "   - `from sklearn.datasets import fetch_california_housing`: 导入加州房价数据集。\n",
    "   - `from sklearn.model_selection import train_test_split`: 用于将数据集划分为训练集和测试集。\n",
    "   - `from sklearn.preprocessing import StandardScaler`: 用于数据标准化。\n",
    "   - `from sklearn.linear_model import SGDRegressor`: 导入随机梯度下降回归模型。\n",
    "   - `from sklearn.metrics import mean_squared_error`: 用于计算均方误差。\n",
    "   - `import numpy as np`: 用于数值计算。\n",
    "   - `import matplotlib.pyplot as plt`: 用于绘制图表。\n",
    "2. **获取数据并处理**:\n",
    "   - 使用 `fetch_california_housing()` 获取数据集。\n",
    "   - 利用 `train_test_split` 将数据分为训练集和测试集。\n",
    "   - 使用 `StandardScaler` 对数据进行标准化处理。\n",
    "3. **定义学习率和模型参数**:\n",
    "   - 创建一个学习率设置的列表，包括不同的 `eta0`（初始学习率）和 `learning_rate`（学习率策略）组合。\n",
    "   - 设置最大迭代次数。\n",
    "4. **训练模型**:\n",
    "   - 遍历不同的学习率设置。\n",
    "   - 对每种设置，使用 `SGDRegressor` 创建模型，并使用 `partial_fit` 在训练集上逐步训练模型。\n",
    "   - 每次迭代后，使用模型在测试集上进行预测，并计算均方误差。\n",
    "5. **绘制结果图表**:\n",
    "   - 使用 `matplotlib.pyplot` 创建图表。\n",
    "   - 对于每种学习率设置，绘制其随迭代次数变化的损失值。\n",
    "   - 添加图例、标题、坐标轴标签等。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 导入必要的库\n",
    "# 提示: 需要导入的库包括 sklearn.datasets, sklearn.model_selection, sklearn.preprocessing, sklearn.linear_model, sklearn.metrics, numpy, matplotlib.pyplot\n",
    "\n",
    "# 获取 California 房价数据集\n",
    "# 提示: 使用 sklearn.datasets 的 fetch_california_housing 方法\n",
    "\n",
    "# 将数据集拆分为训练集和测试集\n",
    "# 提示: 使用 train_test_split 方法，设置 test_size 为 0.2, random_state 为 0\n",
    "\n",
    "# 对训练集和测试集进行标准化\n",
    "# 提示: 使用 StandardScaler 对数据进行标准化处理\n",
    "\n",
    "# 定义学习率设置，并设置最大迭代次数\n",
    "# 提示: 定义不同的学习率设置，每个设置包含 eta0（初始学习率）和 learning_rate 的值\n",
    "# 设置 num_epochs（训练轮数）\n",
    "\n",
    "# 对于每个学习率设置，训练 SGDRegressor 模型并计算损失值\n",
    "# 提示: 使用 SGDRegressor，设置 max_iter 为 1, tol 为 None\n",
    "# 使用 partial_fit 方法训练模型\n",
    "# 使用 predict 方法进行预测\n",
    "# 使用 mean_squared_error 计算损失值\n",
    "\n",
    "# 使用 matplotlib 绘制不同学习率设置下的损失值随迭代次数的变化\n",
    "# 提示: 使用 plt.plot 方法绘制每个学习率设置的损失值曲线\n",
    "# 设置图例，标签和标题\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这段代码是用 Python 和 scikit-learn 库实现的，用于比较不同学习率设置下的梯度下降算法在训练 California 房价数据集时的损失值。\n",
    "\n",
    "实现原理：\n",
    "1. 首先，从 sklearn.datasets 模块中获取 California 房价数据集。\n",
    "2. 将数据集拆分为训练集和测试集。\n",
    "3. 对训练集和测试集进行标准化。\n",
    "4. 定义学习率设置，并设置最大迭代次数。\n",
    "5. 初始化损失值列表。\n",
    "6. 遍历学习率设置，训练模型，计算损失值，并存储到损失值列表中。\n",
    "7. 使用 matplotlib 模块绘制图表，显示不同学习率设置下的损失值。\n",
    "\n",
    "用途：\n",
    "- 代码可以用来比较不同学习率设置下的梯度下降算法在训练数据集时的损失值，有助于选择合适的学习率。\n",
    "- 代码可以根据需要修改最大迭代次数和数据集，以便在不同数据集和参数下进行比较。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
